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The Gauss Map of a Genus Three Theta Divisor
1992
Transactions of the American Mathematical Society
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A smooth complex curve is determined by the Gauss map of the theta divisor of the Jacobian variety of the curve. The Gauss map is invariant with respect to the (-l)-map of the Jacobian. We show that for a generic genus three curve the Gauss map is locally Z/2-stable. One method of proof is to analyze the first-order Z/2-deformations of the Gauss map of a hyperelliptic theta divisor.
doi:10.2307/2154137
fatcat:5nwpntb67nco7bsk6hjeftsqau